An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions

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Publisher: Springer US
Year: 2008
Tongue: English
Weight: 862 KB
Volume: 47
Category: Article
ISSN: 1017-1398
DOI: 10.1007/s11075-007-9153-8

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An efficient algorithm for the Hurwitz z

An efficient algorithm for the Hurwitz zeta and related functions

✍ Mark W. Coffey 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 568 KB

A simple class of algorithms for the efficient computation of the Hurwitz zeta and related special functions is given. The algorithms also provide a means of computing fundamental mathematical constants to arbitrary precision. A number of extensions as well as numerical examples are briefly describe